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Finding the Fourth Proportional to 341.14, 470.80 and 210.08

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Solution

The fourth proportional to 341.14, 470.80 and 210.08 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 470.80 = 210.08 : x
  2. Step 2: Convert to fraction form
    341.14/470.80 = 210.08/x
  3. Step 3: Cross multiply
    341.14x = 470.80 × 210.08
  4. Step 4: Simplify right side
    341.14x = 98,905.66
  5. Step 5: Solve for x
    x = 98,905.66/341.14
  6. Step 6: Final answer
    x = 289.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.